# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/845634801:0208 # Permalink to this reading: https://leibnizlegible.com/page/845634801:0208?run=74 # Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101) # Folio 202, page id 845634801:0208 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=208 # Source image: https://digitale-sammlungen.gwlb.de/content/845634801/jpgs/default/00000208.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.90 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 32 Soltua abl DE N V M E R OS A primi. cus primum. A latere secundo in eriplum quadratun A lateris secundi quadrato in triplum la ateris secundi. Summa ablatitiorum. Solida additiria Summa addiritiorum. Excessus ablaririorum, aequalisre resolvendo adfecto cubo. Traque s L C 7 9, aequetur 24, 58O. fit LN27. Ex retrograda, quae omnino observata cert tur, compositionis via. Incerdum accidirur coefticiens longirudo pluribus abunder simplicibus Rouris, quam cubus negate adfectus lubquadrato, cernis. Ouod aroumentum est lolidum rdAciens inajus esse relolvendo adfecto negare cub0. Vocetur autem cubus aceptralus. Traque uE relolurioni sic locus, praeponerur murilo cubo ea numeralium circulorum mulcicudo, ut cor puncta cubica possinr ei praetioi, quoc simplices Aoura longirudini coethcienci. Ec prima coefficientis longiudinis fgura, pergendo a laeva ad dexrram consticuetur (i caere- ra consentiane, Cin minus tigura proxime major, lacus singulare primum iplius resolven- di cubinesare adfecti lub quadraco, non immurara exereroquin expolica antecedente mechodo, ur in quaectione, PEOPONAEUT LC = 10 G, aequari 288. Ouaritur quanra (ic L N, laculve propolici ad fecti cubi. F.(F 288 cubus multarus Colido sub quadraro e coéfticienre longirudine r0. Majus cl aurem olidum 10O Colido 288: quoniam coefficiens lonsicudo constar simplicibus H- suris duabus, Colidum vero 288, uno cubico puncto. ltaque solido 288 relolvendo pra- Ponecur numeralis circulus, ex runc demum sua coefhcienti sedes addicetur, cujus pri- ma teura, s cxecera consenciane, Cn minus, proxime major adlumctur ad lacus primum mucili cubi. Vein paradiomare. Paradiema cum solidum majus est cubo. I Eductio laceris lingularis primi. Coessiciens congirudo Cubus resolvendus acephalit (ablarisium oa pdstaphareticat addicicium Excessit Reliquum restituri murili Hb tem lonennuntem. A latere secundo in planum explesio. A laceris secundi quadraro in coefficien in subquadratita. A laceris primi quadraso in coesse loneicudinem. N TI. Fdu